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A087803 Number of equations (order conditions) that must be satisfied to achieve order n in the construction of a Runge-Kutta method for the numerical solution of an ordinary differential equation. 2
1, 2, 4, 8, 17, 37, 85, 200, 486, 1205, 3047, 7813, 20299, 53272, 141083, 376464, 1011311, 2732470, 7421146, 20247374, 55469206, 152524387, 420807242, 1164532226, 3231706871, 8991343381, 16083734329, 53998409650 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

Butcher, J. C., The Numerical Analysis of Ordinary Differential Equations, (1987) Wiley, Chichester

See link for more references.

LINKS

I. Th. Famelis, S. N. Papakostas and Ch. Tsitouras Symbolic Derivation of Runge-Kutta Order Conditions.

CROSSREFS

a(n) = Sum_(k=1..n) A000081(k)

Sequence in context: A085022 A003426 A179476 * A036374 A084635 A154222

Adjacent sequences:  A087800 A087801 A087802 * A087804 A087805 A087806

KEYWORD

nonn

AUTHOR

Hugo Pfoertner (hugo(AT)pfoertner.org), Oct 12 2003

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Last modified February 14 09:57 EST 2012. Contains 205614 sequences.